Number-Phase Quantization Scheme for L-C Circuit |
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Authors: | FAN Hong-Yi LIANG Bao-Long WANG Ji-Suo |
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Institution: | 1. Department of Material Science and Engineering, University of
Science and Technology of China, Hefei 230026, China
;2. Department of Physics, Liaocheng University, Liaocheng 252059, China |
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Abstract: | For a mesoscopic L-C circuit, besides the Louisell's quantization scheme in which electric charge q and electric current I are respectively quantized as the coordinate operator Q and momentum
operator P, in this paper we propose a new quantization scheme in the
context of number-phase quantization through the standard Lagrangian
formalism. The comparison between this number-phase quantization with the
Josephson junction's Cooper pair number-phase-difference quantization
scheme is made. |
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Keywords: | mesoscopic L-C circuit phase-difference quantization scheme magnetic flux Josephson junction |
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